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Finding the Third Proportional to 5,774.63 and 13,920.19

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Solution

The third proportional to 5,774.63 and 13,920.19 is: 33,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.63 : 13,920.19 = 13,920.19 : x
  2. Step 2: Convert to fraction form
    5,774.63/13,920.19 = 13,920.19/x
  3. Step 3: Cross multiply
    5,774.63x = 13,920.19 × 13,920.19
  4. Step 4: Simplify right side
    5,774.63x = 193,771,620.04
  5. Step 5: Solve for x
    x = 193,771,620.04/5,774.63
  6. Step 6: Final answer
    x = 33,555.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.